Stability of Implicit-Explicit Backward Difference Formulas For Nonlinear Parabolic Equations
نویسنده
چکیده
We analyze stability properties of BDF methods of order up to 5 for linear parabolic equations as well as of implicit–explicit BDF methods for nonlinear parabolic equations by energy techniques; time dependent norms play also a key role in the analysis.
منابع مشابه
Fully implicit, linearly implicit and implicit-explicit backward difference formulae for quasi-linear parabolic equations
Quasi-linear parabolic equations are discretised in time by fully implicit backward difference formulae (BDF) as well as by implicit–explicit and linearly implicit BDF methods up to order 5. Under appropriate stability conditions for the various methods considered, we establish optimal order a priori error bounds by energy estimates, which become applicable via the Nevanlinna-Odeh multiplier te...
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ورودعنوان ژورنال:
- SIAM J. Numerical Analysis
دوره 53 شماره
صفحات -
تاریخ انتشار 2015